Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators

Details Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators

1999-05-27

arxiv.org/abs/patt-sol/9905009v1

Nonlinear Sciences

Chaotic Dynamics

4 pages in RevTeX; 7 figures in ps format

Scientific paper

10.1103/PhysRevLett.84.3053

Chains of parametrically driven, damped pendula are known to support soliton-like clusters of in-phase motion which become unstable and seed spatiotemporal chaos for sufficiently large driving amplitudes. We show that the pinning of the soliton on a "long" impurity (a longer pendulum) expands dramatically its stability region whereas "short" defects simply repel solitons producing effective partition of the chain. We also show that defects may spontaneously nucleate solitons.

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